Uncertain wave equation with infinite half-boundary

被引：31

作者：

Gao, Rong ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 304卷

基金：

中国国家自然科学基金;

关键词：

Uncertainty theory; Uncertain process; Uncertain differential equation; Uncertain wave equation;

D O I：

10.1016/j.amc.2016.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Wave equation is a type of second-order and hyperbolic partial differential equation. It is a commonly used tool to model many kinds of wave propagations such as sound wave, electromagnetic wave, water wave and string vibration propagations. Similarly, uncertain wave equation is a type of uncertain partial equation driven by Liu process, which is widely used to model the wave propagation with uncertain noise such as vibrating string in uncertain environment. The existing literature has studied uncertain wave equation with infinite boundary. Since infinite boundary is a much ideal condition, this paper aims at studying the uncertain wave equation with infinite half-boundary. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：28 / 40

页数：13

共 21 条

[11]

Liu B., 2009, J. Uncertain Syst., V3, P3

[12]

Liu B., 2013, J UNCERTAINTY ANAL A, V1, P1, DOI [DOI 10.4236/MSCE.2013.16002, 10.1186/2195-5468-1-1, DOI 10.1186/2195-5468-1-1]

[13]

Liu B., 2008, J. Uncertain Syst., V2, P3

[14] Uncertainty distribution and independence of uncertain processes [J].

Liu, Baoding .

FUZZY OPTIMIZATION AND DECISION MAKING, 2014, 13 (03) :259-271

[15]

ORSINGHER E, 1982, ANN I H POINCARE B, V18, P367

[16] A sufficient and necessary condition of uncertainty distribution [J].

Peng, Zixiong ;

Iwamura, Kakuzo .

JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2010, 13 (03) :277-285

[17] Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach [J].

Wang, Liguang ;

Liu, Bo ;

Bai, Ran .

FIXED POINT THEORY AND APPLICATIONS, 2010,

[18]

Wiener N., 1923, Journal of Mathematics and Physics, V2, P131, DOI [DOI 10.1002/SAPM192321131, DOI 10.1002/SAPM192321131.EPRINT]

[19]

Yang X. F., FUZZY OPTIM IN PRESS

[20] A numerical method for solving uncertain differential equations [J].

Yao, Kai ;

Chen, Xiaowei .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (03) :825-832

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